In this lecture we show that the concepts of controllability and observability are. related to linear systems of algebraic equations. It is well known that a solvable. system of linear algebraic equations has a solution if and only if the rank of the. system matrix is full . Observability and controllability tests will be connected to. the rank tests of ceratin matrices: the controllability and observability matrices.
Here are the standardized sizes in volume for coffee cups and the mug which are used in cafe shops and restaurants (theirs size in different locations can slightly vary). Typically, reflecting common sizes of ceramic and takeaway paper cups, they are: 1  the small cup holds 8 fl oz-fluid ounces.
There is no legal standard coffee cup; although the most correct answer could be either 5 fluid ounces [for home brewed coffee], 5-1/3 fluid ounces [restaurant coffee] or 6 fluid ounces [of cold water]. Most table settings come with cups that hold approximately 6-9 fluid oz.